Hi there! The answer is C.
The area of the square in the middle is the following:
Hence, the area of the square is 25 cm^2.
The area of one triangle is the following:
Hence, the total area of the four triangles is 4 × 20 = 80 cm^2.
Therefore, the total area of the pyramid is 80 + 25 = 105 cm^2. The answer is C.
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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Answer:
Step-by-step explanation:
There are 420 students.
41% are first year students.
41% = 41/100
420 * 41/100 = 172.4
What do you do about the 0.4? I would just round to the nearest whole number which is 172.
There are 420 - 172 = 248 who are not first year students.
Answer:
12:00 am midnight
Step-by-step explanation:
Given;
I can read a 336-page book in 6 hours.
My rate r1 = 336/6 pages per hour = 56 pages per hour
Jayne can read a 144-page book in 3 hours.
Jayne rate r2 = 144/3 = 48 pages per hour
If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM
Taking 10 am as the reference time.
Let x represent the time from 10 am at which they would both be on the same page.
For me;
Since i started by noon; 2 hours after 10 am
Time t1 = x-2
For Jayne;
She started by 10 am
Time t2 = x
For them to be on the same page they must have read the same number of pages;
Number of pages read = rate × time
r1(t1) = r2(t2)
Substituting the values;
56(x-2) = 48(x)
56x - 112 = 48x
x(56-48) = 112
x = 112/(56-48)
x = 14 hours
Since 10 am is the reference, the time would be;
=10 am + x = 10 am + 14 hours
= 24:00
= 12:00 am midnight
Answer:
D. The answer is D because meat dishes have a total 13 and pasta and soup total a total of 12. So they cannot be equal unless pasta and soup have a total of 13 or the meat dishes have a total of 12
